727493944320 has 2464 divisors, whose sum is σ = 3247588753920. Its totient is φ = 153837895680.

The previous prime is 727493944267. The next prime is 727493944357. The reversal of 727493944320 is 23449394727.

727493944320 is a `hidden beast` number, since 7 + 2 + 7 + 493 + 94 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 15478594537 + ... + 15478594583.

Almost surely, 2^727493944320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727493944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623794376960).

727493944320 is an abundant number, since it is smaller than the sum of its proper divisors (2520094809600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

727493944320 is a wasteful number, since it uses less digits than its factorization.

727493944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 727493944320 in words is "seven hundred twenty-seven billion, four hundred ninety-three million, nine hundred forty-four thousand, three hundred twenty".